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Bibounded uo-convergence and b-property in vector lattices
Date
2021-01-01
Author
Alpay, Safak
Emelyanov, Eduard
Gorokhova, Svetlana
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We define bidual bounded uo-convergence in vector lattices and investigate relations between this convergence and b-property. We prove that for a regular Riesz dual system ⟨ X, X∼⟩ , X has b-property if and only if the order convergence in X agrees with the order convergence in X∼ ∼.
Subject Keywords
b-property
,
Banach lattice
,
Order dual
,
Regular Riesz dual system
,
Unbounded order convergence
,
Vector lattice
URI
https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85106931550&origin=inward
https://hdl.handle.net/11511/91095
Journal
Positivity
DOI
https://doi.org/10.1007/s11117-021-00840-7
Collections
Department of Mathematics, Article
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S. Alpay, E. Emelyanov, and S. Gorokhova, “Bibounded uo-convergence and b-property in vector lattices,”
Positivity
, pp. 0–0, 2021, Accessed: 00, 2021. [Online]. Available: https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85106931550&origin=inward.